The DOI matches its Crossref record; 83 of the 84 references it cites were found in a registry or an index.
The quest for a Quantum Neural Network
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The cited source says what the claim attributes to it.
In the citing paper
“We make the individual neurons reversible and then naturally generalise them to being quantum reversible (unitary).This resolves the classical-quantum clash mentioned above from ref. 24.”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [24]
The cited source says what the claim attributes to it.
In the citing paper
“has produced noteworthy advances in quantum random walks, 38,39 quantum control, 40 open quantum systems, 41 and pioneering work on quantum neural networks, 42 quantum machine learning, 43 and quantum processes in the brain.44”
From Toward a quantum future for South Africa (2021) · cites this paper as [42]
In the citing paper
“A key challenge to overcome is the clash between the nonlinear, dissipative dynamics of neural network computing and the linear, reversible dynamics of quantum computing.24”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [24]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
An Introduction to the Bootstrap
Efron, B., & Tibshirani, R. J. (1994) · doi:10.1201/9780429246593 · Cited by 40,500
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Neural networks and physical systems with emergent collective computational abilities.
Hopfield, J. J. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.8.2554 · Cited by 19,270
A logical calculus of the ideas immanent in nervous activity
McCulloch, W. S., & Pitts, W. (1943) · The Bulletin of Mathematical Biophysics · doi:10.1007/bf02478259 · Cited by 18,566
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472
Quantum Computation and Quantum Information: 10th Anniversary Edition
Nielsen, M. A., & Chuang, I. L. (2012) · doi:10.1017/cbo9780511976667 · Cited by 8,436
Hopfield, J. J. (1984) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.81.10.3088 · Cited by 6,918
Theory of open quantum systems
Xu, R., & Yan, Y. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1474579 · Cited by 6,622
Introduction to the theory of neural computation
Hertz, J., Krogh, A., & Palmer, R. G. (1994) · Neural Networks · doi:10.1016/0893-6080(94)90014-0 · Cited by 6,410
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Self-citation
Research works printed but not linked: 4
- Tóth, G., Lent, C.S., Tougaw, P.D., Brazhnik, Y., Weng, W., Porod, W., Liu, R.-W., Huang, Y.-F.: Quantum cellular neural networks (preprint). cond-mat/0005038 (2000) · arXiv
- Peruš, M.: Neural networks as a basis for quantum associative networks. Neural Netw. World 10(6), 1001–1013 (2000)
- Faber, J., Giraldi, G.A.: Quantum models for artificial neural networks. Electronically available: http://arquivosweb.lncc.br/pdfs/QNN-Review.pdf (2002)
- Siomau, M.: Quantum perceptron (preprint). arXiv:1210.6626 (2012) · arXiv
Cited by
Sorted by citations
Items 601–683 of 683
Temporal-spatial quantum graph convolutional neural network
Qu, Z. (2025) · Elsevier eBooks · doi:10.1016/b978-0-44-330259-6.00011-6
Quantum reservoir computing based on decoherence-free subspaces
Altaisky, M., & Kaputkina, N. (2025) · Days on Diffraction · doi:10.1109/dd66835.2025.11263475
A short review on quantum machine learning
Arsoski, V. V. (2025) · Kragujevac Journal of Science · doi:10.5937/kgjsci2503123a
Quantum Long Short-Term Memory for Sequence Prediction
Chikhaoui, B. (2025) · IEEE/ACS International Conference on Computer Systems and Applications (AICCSA) · doi:10.1109/aiccsa66935.2025.11315392
Enhancing Neural Network with Quantum Computing
D’Souza, S. M., Prasad, R. R., Reddy, C. S., Reddy, P. U. M., Chethan, S. P., & Sushruth, M. S. (2026) · Lecture notes in networks and systems · doi:10.1007/978-981-96-8350-5_11
Drug Discovery with Quantum Machine Learning
Pyrkov, A., Aliper, A., Bezrukov, D. S., & Zhavoronkov, A. A. (2026) · Springer eBooks · doi:10.1007/978-3-031-98022-0_10
QEKI: A Quantum–Classical Framework for Efficient Bayesian Inversion of PDEs
Yong, J., & Tang, S. (2026) · Entropy · doi:10.3390/e28020156
Quantum Frontiers in the Battle for Information Integrity
Loia, V., & Tomasiello, S. (2026) · Wiley Interdisciplinary Reviews Data Mining and Knowledge Discovery · doi:10.1002/widm.70067
Hybrid quantum–classical machine translation
Abbaszadeh, M., Moghadam, M. Z., Sadrzadeh, M., Salari, V., & Kurian, P. (2026) · Quantum Information Processing · doi:10.1007/s11128-025-05032-w
Applications of Quantum Arithmetic Designs
Wang, S., & Chattopadhyay, A. (2026) · Computer architecture and design methodologies · doi:10.1007/978-981-95-6039-4_4
Comparative Study of Classical and Hybrid Quantum Neural Networks in Protein Sequence Classification
Belekar, G., Srivastava, N., Vanahalli, M. K., & Bankapur, S. S. (2026) · Lecture notes in electrical engineering · doi:10.1007/978-981-95-2901-8_15
Tang, Y., Cai, Z., Zhang, Y., Gao, Z., & Yu, J. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05085-5
Efficient Quantum Amplitude Encoding via Improved Success Probability
Lu, X. P., Li, X., Li, Y., Yi, X., Hou, S., & Pan, C. (2025) · International Conference on Computing, Communication, Perception and Quantum Technology (CCPQT) · doi:10.1109/ccpqt66408.2025.11382951
Bhalerao, V. T., Mani, P. D. P., Rajawat, A. S., & Goyal, S. B. (2025) · International Conference on Advancement in Electronics & Communication Engineering (AECE) · doi:10.1109/aece67531.2025.11386726
Assessing the advantages and limitations of quantum neural networks in regression tasks
de Lima, G. G., Farias, T. D. S., Ricardo, A. C., & Villas-Bôas, C. J. (2026) · Quantum Machine Intelligence · doi:10.1007/s42484-026-00370-z
A Bibliometric Analysis of Quantum-Enhanced Neural Network Applications in Rare Disease Diagnosis
Mokoka, F. E., Masethe, M. A., Masethe, H. D., & Dandadzi, A. (2025) · International Multidisciplinary Information Technology and Engineering Conference (IMITEC) · doi:10.1109/imitec67386.2025.11410503
Quantum Optimization of Event-Driven Neuromorphic Systems
Dour, S. (2026) · Advances in computational intelligence and robotics book series · doi:10.4018/979-8-3373-7779-7.ch012
Quantum-Inspired Reinforcement Learning in Neuromorphic Systems
Swami, P. (2026) · Advances in computational intelligence and robotics book series · doi:10.4018/979-8-3373-7779-7.ch003
Quantum Neural Network with Adaptive PID Control for DC Motor
Teng, H.-Y., Hsu, K.-C., & Hung, L.-C. (2025) · International Conference on Orange Technology (ICOT) · doi:10.1109/icot68409.2025.11425129
Quantum Deep Q Network Technique for Latency Minimization in STAR-RIS assisted VRCS
Chaudhary, S., Budhiraja, I., Chaudhary, R., Kumar, N., & Woungang, I. (2025) · Globecom · doi:10.1109/globecom59602.2025.11432281
Pattern formation in quantum hierarchical cellular neural networks
Zúñiga-Galindo, W. A., Zambrano-Luna, B. A., & Indoung, C. (2026) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2026.110715 · Cited by 1
Krishna, M. J., Manasa, P., Kumar, P. D., Prathyusha, M., & Gokul, M. (2026) · International Journal of Data Science and IoT Management System · doi:10.64751/ijdim.2026.v5.n2.pp114-124
Contributions to handwriting recognition using deep neural networks and quantum computation
Cîrstea, B.-I. (2018) · theses.fr (ABES) · doi:10.70675/e91e04d4zd576z420czb90fz757f7815df11
Quantum Supremacy and the Advancements in Quantum Computing
Nair, R., Kashyap, R., & Nair, P. S. (2026) · Lecture notes in networks and systems · doi:10.1007/978-3-032-10199-0_2
Improved quantum algorithms for eigenvalue finding and gradient descent
Nghiem, N. A., & Wei, T.-C. (2026) · Physical Review Applied · doi:10.1103/ddlc-ynvv
Chemically accurate simulations by machine learning correlated approximations
Herzog, B. (2023) · theses.fr (ABES) · doi:10.70675/538b5495z9236z47ceza5f3z59439407b41c
Variational Quantum Algorithms for Image ClassificationPreprint
Sum-Shik, A., & Thoma, P. (2026) · Research Square · doi:10.21203/rs.3.rs-9349408/v1
Quantum Machine Learning for Materials Science
Pei, Z. (2026) · The Materials Research Society series · doi:10.1007/978-3-032-14541-3_11
Circuit Design based on Feature Similarity for Quantum Generative ModelingPreprint
Makarski, M., Kato, J., Sato, Y., & Yamamoto, N. (2026) · Research Square · doi:10.21203/rs.3.rs-8853286/v1
Quantum–Enhanced Air Quality Classification in Smart Ecological Infrastructure
Muhamediyeva, D. T., Mamatov, N., Samijonov, B. N., Asqarov, Q. A., & Isoqov, A. F. (2026) · Sustainable civil infrastructures · doi:10.1007/978-3-032-19859-4_5
Quantum Neural Networks for Symbol Recovery in Long-Haul Terahertz Communication Systems
Wang, Q., Zhou, W., Wang, L., Wang, S., Xu, S., Zhang, J., Bian, C., Wang, M., Yang, X., Ge, J., et al. (2026) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2026.3688553
A Hybrid Quantum-Classical Framework for Saliency-Aware Medical Image Encoding
Nikam, V., Atre, T. S., Santhosh, L., N, A. K., & Praveena, M. V. (2026) · Quantum Reports · doi:10.3390/quantum8020046
Hybrid Quantum-Classical k-NN Model for Improved Accuracy
Verma, P., & Vishwakarma, D. K. (2026) · Defence Science Journal · doi:10.14429/dsj.21511
A Distributed Quantum Neural Network for Network Anomaly Detection
Hdaib, M., Rajasegarar, S., & Loke, S. W. (2026) · International Conference on Quantum Communications, Networking, and Computing (QCNC) · doi:10.1109/qcnc69040.2026.00109
A Quantum Computing-Based Neural Network Approach for Modeling Electrical Discharge Machining
Karunyan, A., & Das, R. (2026) · IEEE Access · doi:10.1109/access.2026.3692743
An Introduction to Quantum Machine Learning Algorithms and Its Applications
George, J., & Sebastian, A. (2026) · Wiley eBooks · doi:10.1002/9781394347070.ch10
Halder, P., & Islam, M. T. (2026) · Journal of Computer Sciences and Informatics. · doi:10.5455/ejcsi.20251115051912
Accelerating two‑dimensional quantum Fourier transforms in quantum neural networks
Gomez, A. A., Torres-Concoha, E., Grigoryan, A. M., & Agaian, S. S. (2026) · Multimodal Image Exploitation and Learning · doi:10.1117/12.3094220
Quantum slant transform design for quantum neural network processing
Gomez, A. A., Grigoryan, A. M., & Agaian, S. S. (2026) · Multimodal Image Exploitation and Learning · doi:10.1117/12.3094702
Quantum-Assisted Deep Learning for Fault Detection and Diagnosis in Distributed Sensor Networks
Bykov, A. A., Daurenbayeva, N., Жакыпбеков, С. Ж., Bissarinova, A., Nurlanuly, A., & Daniyarova, D. (2026) · Signals · doi:10.3390/signals7030055
Quantum Enhanced Data-driven Learning for Defect Reduction in Etching Process
Yang, Z., Wang, L.-W., Chen, Y., Chao, Y.-H., Tsai, C., Wu, M.-T., Lee, H.-J., Lian, N.-T., Yang, T., Chen, K., et al. (2026) · ASMC proceedings · doi:10.1109/asmc69324.2026.11551187
Quantum Artificial Intelligence: An Innovation Within the Innovation
Tzounakis, P., Antoniou, I. E., Hanias, M. P., & Stavrinides, S. G. (2026) · Springer proceedings in complexity · doi:10.1007/978-3-032-09101-7_13
Quantum image representation-based quantum neural networks for binary classification
Tiwari, A., Siyanwal, S., Sakhuja, S., Kumar, S., & Tyagi, P. (2026) · The Journal of Supercomputing · doi:10.1007/s11227-026-08621-3
A QNN-Based Framework for Enhancing Reliability in Critical 5G Networks
Tiwari, A., Molakatala, N., & Rehman, A. S. (2026) · Lecture notes in computer science · doi:10.1007/978-3-032-26349-0_11
Reliable entanglement detection via quantum generative adversarial model
Xu, L., 周凤婷, Wang, J., Liang, J., Chen, Z., & Li, M. (2026) · Physica Scripta · doi:10.1088/1402-4896/ae7e63
Q-XAI: Towards Explainable Quantum Neural Networks for Human-Centered Intelligence
Jiang, R., Zhu, Y., Angelov, P. P., Pashkin, Y., & Aggarwal, V. (2026) · Communications in computer and information science · doi:10.1007/978-981-95-7829-0_16
Geometric Origin of Fourier Coefficients in Data-Reuploading Single-Qubit Circuits
Oh, S., Im, C., Park, S., & Kim, J. (2026) · Communications in computer and information science · doi:10.1007/978-981-95-7829-0_4
Hasnaoui, H., Limongi, L., Giordani, T., Polacchi, B., Quaranta, A., Bernard, M., Sciarrino, F., & Lobino, M. (2026) · Applied Physics Reviews · doi:10.1063/5.0308063
Knowledge tracing framework based on the cognitive state of quantum focal element uncertainty
Wang, H., & Ji, W. (2026) · Neural Networks · doi:10.1016/j.neunet.2026.109303
Small Molecule Drug Discovery Enhanced by Quantum AI
Karim, M., Sojib, N., Khan, M. Z. I., & Roosan, D. (2026) · Springer eBooks · doi:10.1007/978-3-032-19536-4_8
Quoptuna: Automated Optimization and Governance for Quantum Machine Learning
Jose, E., Fong, A. C. M., Lai, C. S., Fong, B., & Lai, L. L. (2026) · IEEE Systems Man and Cybernetics Magazine · doi:10.1109/msmc.2025.3613072
Quantum-Inspired Deep Learning (Q-AI) for Voice Disorder Classification
Gangrade, A., Pandya, Y., Sharma, P., & Vyas, V. (2026) · Communications in computer and information science · doi:10.1007/978-3-032-19321-6_14
Modular Quantum Recurrent Neural Networks: Scalable Reservoir Computing with High Noise Resilience
Sengupta, R. (2026) · International Conference on Secure Cyber Computing and Communications (ICSCCC) · doi:10.1109/icsccc69031.2026.11600184
Zhen, L., & Bărbulescu, A. (2026) · Romanian Journal of Physics · doi:10.59277/romjphys.2026.71.803
Quantum Neural Networks in the NISQ Era: Architectures, Challenges, and Applications
Palihakkara, K. W., & Jayakody, M. N. (2026) · Proceedings in Technology Transfer · doi:10.1007/978-981-92-0423-6_19
Cheng, Y., Wang, M., Hao, Z., & Buyya, R. (2026) · Neurocomputing · doi:10.1016/j.neucom.2026.134580
A qubit-efficient quantum algorithm for convolutional feature extraction
Roshanshah, M. R., Kazemikhah, P., Aghababa, H., & Barati, M. (2026) · Quantum Machine Intelligence · doi:10.1007/s42484-026-00425-1
Rezaei, T., & Ghaffarian, S. (2026) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2026.113237
Quantum Image Encoding Fidelity Metric (QIEF) for Performance Evaluation of Quantum Devices
Geng, A., & Moghiseh, A. (2026) · International Scientific Conference TechSys — Engineering, Technology and Systems (TechSys) · doi:10.3390/engproc2026150093
Quantum Pyramidal Networks on Wave-ViT Embeddings for Medical Image Analysis
Font-Aragonès, X., & Ballester, M. Á. G. (2026) · Communications in computer and information science · doi:10.1007/978-981-92-1546-1_25
Quantum‐Enhanced Genetic Algorithm for Quantum Neural Network Optimization
Chen, K., Wei, Y., & Yan, F. (2026) · Advanced Quantum Technologies · doi:10.1002/qute.70394
Gluhovic, J. (2026) · American Journal of Computer Science and Technology · doi:10.11648/j.ajcst.20260903.11
Triki, M., Hajjem, R., Kahouli, O., & Chaâbane, M. A. (2026) · International Conference on Control, Automation and Diagnosis (ICCAD) · doi:10.1109/iccad69956.2026.11643184
Circuit-Aware Hyperparameter Prediction for MPS Quantum Simulators
Leonteva, A. O., Outteryck, M., & Masella, G. (2026) · Lecture notes in computer science · doi:10.1007/978-3-032-36226-1_17
Toward a Framework for Ethical Quantum Computing: Foundations and Research Directions
Perrier, E. (2026) · Perspectives in law, business and innovation · doi:10.1007/978-981-92-3768-5_4
Guehika, A. (2026) · Lecture notes in networks and systems · doi:10.1007/978-3-032-32732-1_45
Architectural Paradigms Shaping the Future of Quantum Computing
Gavhane, J., Shirke, G., & Nakod, A. (2026) · International Conference on Trends in Quantum Computing and Emerging Business Technologies (TQCEBT) · doi:10.1109/tqcebt67648.2026.11681761
A hybrid quantum–classical learning architecture for noise-aware inference in distributed systems
Haq, M. I. U., Khan, K. B., Sheikh, Z. R., & Deng, Y. (2026) · Systems Science & Control Engineering · doi:10.1080/21642583.2026.2738372
Towards Efficient Function Optimisation with Quantum–Classical Hybrid Search
Ziatdinov, M., Levkovich-Maslyuk, F., & Pothos, E. M. (2026) · Entropy · doi:10.3390/e28101060
Tokgöz, E., & Mosaiyebzadeh, F. (2026) · Electronics · doi:10.3390/electronics15194469
Harmonizing Color-Space Attention and Parameter-Level Ensembles for Robust Coffee Leaf Diagnostics
Kulkarni, S., Shashidhar, V., Shruthi, G., Rajesh, K. S., Vidyasaraswathi, H. N., Chethan, K., Kotigi, R. K., & Manjunath, T. C. (2026) · Engineering Technology & Applied Science Research · doi:10.48084/etasr.19557
Choubey, Y., Anushka, Nirala, G. N., Amphawan, A., Bharti, G. K., & Tran, P. T. (2026) · International Conference on Green Technology and Sustainable Development (GTSD) · doi:10.1109/gtsd70918.2026.11722386
Facial Recognition by Using Ensemble and Network of Quantum Convolutional Neural Network
Desiboyina, S., & Tokgöz, E. (2026) · Communications in computer and information science · doi:10.1007/978-3-032-28472-3_11
Network of Quantum Neural Networks
Tokgoz, E., & Desiboyina, S. (2026) · Communications in computer and information science · doi:10.1007/978-3-032-28454-9_30
Hybrid QCNN Framework for Pneumonia Detection Using CXR Data
Kumari, R., & Samsonanoshbabu, P. (2026) · Annals of Data Science · doi:10.1007/s40745-026-00741-0
Quantum heterogeneous graph attention network
Liu, W., Du, B., & Wu, Q. (2026) · Pattern Recognition · doi:10.1016/j.patcog.2026.115127
Ghosh, S., Islam, S. M., Deshpande, S. S., & Pal, A. (2026) · IEEE International Geoscience and Remote Sensing Symposium (IGARSS) · doi:10.1109/igarss60577.2026.11730318
Abidova, S., Yusufjon, X., Nilufar, M., Shoxrux, X., P, S. K. T., & Ananth, C. (2026) · International Conference on Smart Electronics and Communication (ICOSEC) · doi:10.1109/icosec70158.2026.11736123
Ahn, G., Kim, I., Baek, J., Lee, D., Lee, C., Hong, S., & Lee, D. (2026) · ACM Conference on Post-Quantum and Quantum-based Security · doi:10.1145/3839338.3857245
Metadata
- Authors
- Schuld, M., Sinayskiy, I., & Petruccione, F.
- Affiliations
- University of KwaZulu-Natal (ZA)
- National Institute for Theoretical Physics (ZA)
- Corresponding author
- Schuld, Maria
- Venue
- Quantum Information Processing
- Published
- 2014-08-26
- Volume
- 13
- Issue
- 11
- Pages
- 2567-2586
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W1990514347
- Cited by
- 671
- References
- 84
- Citations by year
- 2026: 83 · 2025: 131 · 2024: 72 · 2023: 80 · 2022: 51 · 2021: 83 · 2020: 49 · 2019: 41 · 2018: 38 · 2017: 17 · 2016: 15 · 2015: 6 · 2014: 5
- FWCI
- 14.29
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Quantum Information Processing (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- quantum neural networks, Hopfield neural network, associative memory, quantum computing, artificial neural networks, nonlinear dynamics, unitary dynamics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review